How many numbers are there from 14 to 159 which are divisible by both 2 and 8?a)7b)18c)11d)12Correct answer is option 'B'. Can you explain this answer?

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How many numbers are there from 14 to 159 which are divisible by both 2 and 8?

a)
7
b)
18
c)
11
d)
12

Correct answer is option 'B'. Can you explain this answer?

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How many numbers are there from 14 to 159 which are divisible by both ...

The numbers which are divisible by 8 will be automatically divisible by 2

The numbers divisible by 8 between 14 to 159 are 16,24, 32,40, 48, …., 152

The above series is an AP with first term = 16 and common difference = 8 and the last term = 152

In an AP, A_n = a + (n - 1)d

⇒ 144 = 8n
⇒ n = 144/8 = 18
∴ There are 18 numbers divisible by 2 and 8 between 14 and 159.

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